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Finding the Fourth Proportional to 1,213.14, 1,820.47 and 554.91

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Solution

The fourth proportional to 1,213.14, 1,820.47 and 554.91 is: 832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.14 : 1,820.47 = 554.91 : x
  2. Step 2: Convert to fraction form
    1,213.14/1,820.47 = 554.91/x
  3. Step 3: Cross multiply
    1,213.14x = 1,820.47 × 554.91
  4. Step 4: Simplify right side
    1,213.14x = 1,010,197.01
  5. Step 5: Solve for x
    x = 1,010,197.01/1,213.14
  6. Step 6: Final answer
    x = 832.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.